Suppose a mechanic claims that a machine filling bottles with saline solution is not equal to 153 ml, on average. Several of his coworkers do not believe him, so the mechanic decides to do a hypothesis test, at a 1% significance level, to persuade them. He fills 18 bottles, collects the proper data, and works through the testing procedure:

Areflection of shape i across the y-axis, followed by a , and then a translation left 6 units and down 4 units confirms congruence between shape i and shape ii. alternatively, a of shape ii about the origin, followed by a reflection across the y-axis, and then a translation right 4 units and up 6 units confirms congruence between shape ii and shape i.